How many square inches of wrapping paper are needed to wrap a gift box that are 3 inches long 4 inches wide, and 5 inches tall ?
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2(3*4 + 3*5 + 4*5)
To calculate the amount of wrapping paper needed, follow these steps:
Step 1: Determine the surface area of the gift box.
To wrap a rectangular gift box, you need to calculate the surface area of all six sides.
The formula to calculate the surface area of a rectangular prism (gift box) is:
Surface Area = 2 * (length * width + length * height + width * height)
Given the dimensions:
Length = 3 inches
Width = 4 inches
Height = 5 inches
Substituting the values into the formula:
Surface Area = 2 * (3 * 4 + 3 * 5 + 4 * 5)
Step 2: Simplify the equation:
Surface Area = 2 * (12 + 15 + 20)
Surface Area = 2 * 47
Surface Area = 94 square inches
Therefore, you will need 94 square inches of wrapping paper to wrap the gift box.
To determine the total square inches of wrapping paper needed to wrap the gift box, you need to find the surface area of the box. The surface area can be calculated by adding up the areas of each side of the box.
The gift box has six sides: a top and a bottom (both the same size), two adjacent sides, and two other adjacent sides. Let's calculate the area of each side:
1. Top and Bottom: The top and bottom sides have the same dimensions, so we'll calculate the area of one and then multiply it by 2 to account for both sides.
- Area of top/bottom side = length × width = 3 inches × 4 inches = 12 square inches
2. Adjacent Sides: The adjacent sides have the same height and width, so we'll calculate the area of one and then multiply it by 2 to account for both sides.
- Area of adjacent side = height × width = 5 inches × 4 inches = 20 square inches
3. Other Adjacent Sides: The other adjacent sides have the same height and length, so we'll calculate the area of one and then multiply it by 2 to account for both sides.
- Area of other adjacent side = height × length = 5 inches × 3 inches = 15 square inches
Now, let's sum up the areas of all the sides:
12 square inches (top/bottom) + 20 square inches (adjacent) + 15 square inches (other adjacent) = 47 square inches
Therefore, you would need 47 square inches of wrapping paper to wrap the gift box.
Surface area plus some overlap.
< (2*3) + (2*4) + (2*5) = ?